I agree with Robert that some of you guys are overthinking it. Or at least thinking about the wrong things. Most of the reason that people dont want to go first is that they are not ready to shoot. Either not prepared with their equipment: Mags loaded, belt setup, etc. Or not prepared mentally: Dialed in on a plan and ready to execute it.
I suggest preparing for each stage like you are going to be first on all of them. Show up with your equipment ready to go, load mags after your turn on the previous stage when you have downtime. Get all of those ducks in a row so that you can FOCUS on your stage walk-through. Then take every bit of that 5 minutes or so, preparing, discussing, and practicing your plan. Visualize it, until you can do it all in your head with your eyes closed. If you do all of that you will always truly be ready to shoot. Then just press play and EXECUTE that plan. Then if you arent first, all that means is you will just have a few more opportunities to work on that visualization. But you are ready to go either way.
People put WAY too much emphesis on watching other people shoot. If you dont have your plan by that time, you are WAY behind the curve. And if you think you can impliment something new on really short notice you are usually sadly mistaken. The occasions where that works are very rare, and it is usually always best to stick with what you KNOW you can do (and what you should have already practiced in your head 20 times). If you arent sure about how to shoot a course of fire, discuss it with your squadmates. I have never been to a match with anyone, professional or otherwise that wasnt willing to talk about how they were planning to shoot a course of fire. Think about it like packing for a vacation. If you have your itinierary ready and bags packed the night before you rarely forget anything and that makes for a nice trip. But if you throw everything in your suitcase 30 minutes before your flight, we all know that won't end well.
It is only fair that you go first on at least one stage in a match, and sometimes more than one at the larger matches (We usually like to try to keep a specified order throughout the match, so no-one is caught off guard). But if you approach it with this state of mind, it makes it a lot less stressful.